Simple Question About Pendulum I Can't Do

  • Thread starter Thread starter tweety_2479
  • Start date Start date
  • Tags Tags
    Pendulum
AI Thread Summary
The motion of a pendulum is represented by the equation theta = 3cos(3t) - sqrt3 sin(3t). To determine the amplitude of this motion, one must find the maximum value of the function. A common approach is to use calculus to find the critical points or to apply trigonometric identities to simplify the expression. The amplitude can be derived from the coefficients of the sine and cosine components in the equation. Understanding how to find the maximum of a function is key to solving this problem.
tweety_2479
Messages
6
Reaction score
0
Simple Question About Pendulum I Can't Do !

The motion of the bob of a pendulum is described by

theta = 3cos(3t) - sqrt3 sin(3t)

where theta is the angle of the bob from the vertical. What is the amplitude of this motion??

as an attempt, as i know what the answer is, but just don't know how to get to it i substituted the answer for theta and tried to find what t was
but it didnt help i don't really no where to start for this probelm

thanks if youcould help
 
Physics news on Phys.org
HINT: How do you find the maximum of a function?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

The period of a simple pendulum
Replies
20
Views
2K
Foucault Pendulum at the North Pole
Replies
9
Views
2K
Seeking advice on "simple" pendulum problem
Replies
27
Views
2K
Order of anharmonicity of a simple pendulum
Replies
4
Views
1K
Question about a coupled system of pendulums
Replies
16
Views
1K
Equation Demonstration -- Comparing a pendulum's motion to an LC circuit
Replies
7
Views
2K
Max Impulse on a pendulum
Replies
1
Views
776
Work done on a conical pendulum
Replies
3
Views
2K
Cartesian and polar coordinate in Simple pendulum, Euler-Lagrange
Replies
4
Views
3K
Equation Demonstration -- Simple Pendulum Analysis
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top